I think they do, atleast the elementary school material is needed, learn to read write ,basic math and other things.
Sure there is a lot of bullshit in the curriculum, but it's not like we live in a perfect world. Logistically it would be better for my kids to just go through that, it's harder to organize private tutors to come home and teach them.
I would certainly not send them after the minimum required school levels, I think it's 8 , 10 or 12 years, I am not sure I havent looked it up yet. But I dont even have kids so its not that urgent.
However the private school that I have checked costs about 1000$-2000$ / semester, with pool and a big soccer field. I have already went there on a tour and turns out that the equipment is cutting edge with free WIFI, computers in class, touchscreen whiteboards ,you name it.
So it's a pretty modernized, high tech private school, and it's ultra cheap. I bet schools like these in the US would cost 50,000$ or more. So that is a pretty decent bargain.